2008
DOI: 10.1109/tro.2007.912092
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Navigation of Multiple Kinematically Constrained Robots

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Cited by 78 publications
(65 citation statements)
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“…(23), the angular velocity is directly controlled by the wheels rotation. It is worth highlighting that the framework allows integration of other kinds of kinematic constraints by changing the ω t model accordingly, such as the Ackerman type, Campion et al [28], and Macek et al [33]; synchronised type Fox et al [29]; differential drive Song and Chang [32]; or the platforms studied by Loizou and Kyriakopolous [30]. The approach to infer x t and x t+1 is by quantifying the wheels angular displacement directly by the speed drivers.…”
Section: Position Modelmentioning
confidence: 99%
See 1 more Smart Citation
“…(23), the angular velocity is directly controlled by the wheels rotation. It is worth highlighting that the framework allows integration of other kinds of kinematic constraints by changing the ω t model accordingly, such as the Ackerman type, Campion et al [28], and Macek et al [33]; synchronised type Fox et al [29]; differential drive Song and Chang [32]; or the platforms studied by Loizou and Kyriakopolous [30]. The approach to infer x t and x t+1 is by quantifying the wheels angular displacement directly by the speed drivers.…”
Section: Position Modelmentioning
confidence: 99%
“…Charifa and Bikdash [23] compared the behaviour of several variants of artificial potential function methods with emphasis on the quality of path geometry, and velocity and acceleration profiles. Loizou and Kyriakopolous [30] proposed a kinematic framework for modelling mobility of multiple robots that mathematically combines heterogeneous locomotion constraints for control of the system.…”
Section: Introductionmentioning
confidence: 99%
“…Recently, spring/dump models [9]- [11] have been proposed to overcome the rigidity of the original virtual structures approaches [12], [13]. In such models, the robots are connected using virtual joints that allow the structure to be temporarily modified by external forces (e.g.…”
Section: A Related Workmentioning
confidence: 99%
“…In [19], the authors combined a collision-free PPM with a back-stepping controller and applied it to a dynamic model of a multiple robot navigation function to a team of holonomic and nonholonomic mobile robots. However, they assumed that the environment is known and stationary.…”
Section: Introductionmentioning
confidence: 99%